The pi(x) table project is a distributed computation to
construct a very large table of values of pi(x) for large values of x
(Remember that pi(x) is defined as the number of prime numbers less
than a given value x,
see counting the number of primes).
The project aims at offering statistical data of pi(x) for values of x
not reacheable by classical sieves. As far of today, no study of this kind have
been made. And why not, you could find the first known
change of sign of the function pi(x)-Li(x) !
Intersecting conjectures and hypothesis related to the statistics of this
computation (like the Riemann hypothesis) are described
in counting the number of primes.